32 replies to this topic

[OstermanA]

Using some quickly whipped up symbols, the first letter shall be T or F for True and False, respectively, while the second will be h, p & e for Hans, Philip & Emanual.

If Th, then Fe.
If Fe and Th, then Fp
Philip Lied.

If Fh, then Te.
If Te and Fh, then Fp
Philip Lied.

Since this is derived from both possible outcomes of a single True/False statement, it must be all cases. Therefore, in every case Philip lied.

Edited by OstermanA, 09 June 2008 - 08:49 AM.

[biggara]

Has it crossed anyones mind that someone doesn't know and in fact is not lying.
Its an argument maybe some thinks they are right... but in fact they are wrong (and not a liar) considering most arguments work this way see what you can come up with based on that.

Hans lies
Emanuel tells the truth (hans and philip "speak the same" and he doesn't know if they are lying (or maybe they actually just speak the same and arent saying the same thing))
Philip lies (same as hans) or tells the truth but speaks like hans (german accent or something )

[Raoul]

In the Alps - Back to the Logic Problems
Three tourists have an argument regarding the way they should go. Hans says that Emanuel lies. Emanuel claims that Hans and Philip speak the same, only doesn't know whether truth or lie. So who is lying for sure?

Spoiler for the answer

if hans were to lie, then Emanuel tells the truth. Thus Hans and Philip are liars, and Emanuel tells the truth.
If Hans were to speak true, then Emanuel lies. Thus Hans and Philip do not speak the same. Hans tells the truth, so Philip lies.
Philip always lies.
even though it is a bit strange, as philip hasn't said a thing yet...